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Simplifying 2(w + -8) + -7 = -5(-5w + 5) + -5w Reorder the terms: 2(-8 + w) + -7 = -5(-5w + 5) + -5w (-8 * 2 + w * 2) + -7 = -5(-5w + 5) + -5w (-16 + 2w) + -7 = -5(-5w + 5) + -5w Reorder the terms: -16 + -7 + 2w = -5(-5w + 5) + -5w Combine like terms: -16 + -7 = -23 -23 + 2w = -5(-5w + 5) + -5w Reorder the terms: -23 + 2w = -5(5 + -5w) + -5w -23 + 2w = (5 * -5 + -5w * -5) + -5w -23 + 2w = (-25 + 25w) + -5w Combine like terms: 25w + -5w = 20w -23 + 2w = -25 + 20w Solving -23 + 2w = -25 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -23 + 2w + -20w = -25 + 20w + -20w Combine like terms: 2w + -20w = -18w -23 + -18w = -25 + 20w + -20w Combine like terms: 20w + -20w = 0 -23 + -18w = -25 + 0 -23 + -18w = -25 Add '23' to each side of the equation. -23 + 23 + -18w = -25 + 23 Combine like terms: -23 + 23 = 0 0 + -18w = -25 + 23 -18w = -25 + 23 Combine like terms: -25 + 23 = -2 -18w = -2 Divide each side by '-18'. w = 0.1111111111 Simplifying w = 0.1111111111
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